{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "X = np.empty((100,2))\n",
    "X[:,0] = np.random.uniform(0., 100., size=100)\n",
    "X[:,1] = 0.75 * X[:, 0] + 3. + np.random.normal(0., 10., size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=1, random_state=None,\n",
       "    svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=1)\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.75658668, -0.65389342]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_reduction = pca.transform(X)\n",
    "X_restore = pca.inverse_transform(X_reduction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1], color='r', alpha=0.5) # X\n",
    "plt.scatter(X_restore[:,0], X_restore[:,1], color='b') # 恢复后的X\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 使用真实数据集"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/birch/anaconda3/lib/python3.7/importlib/_bootstrap.py:219: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 192 from C header, got 216 from PyObject\n",
      "  return f(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "digits = datasets.load_digits()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      ".. _digits_dataset:\n",
      "\n",
      "Optical recognition of handwritten digits dataset\n",
      "--------------------------------------------------\n",
      "\n",
      "**Data Set Characteristics:**\n",
      "\n",
      "    :Number of Instances: 5620\n",
      "    :Number of Attributes: 64\n",
      "    :Attribute Information: 8x8 image of integer pixels in the range 0..16.\n",
      "    :Missing Attribute Values: None\n",
      "    :Creator: E. Alpaydin (alpaydin '@' boun.edu.tr)\n",
      "    :Date: July; 1998\n",
      "\n",
      "This is a copy of the test set of the UCI ML hand-written digits datasets\n",
      "https://archive.ics.uci.edu/ml/datasets/Optical+Recognition+of+Handwritten+Digits\n",
      "\n",
      "The data set contains images of hand-written digits: 10 classes where\n",
      "each class refers to a digit.\n",
      "\n",
      "Preprocessing programs made available by NIST were used to extract\n",
      "normalized bitmaps of handwritten digits from a preprinted form. From a\n",
      "total of 43 people, 30 contributed to the training set and different 13\n",
      "to the test set. 32x32 bitmaps are divided into nonoverlapping blocks of\n",
      "4x4 and the number of on pixels are counted in each block. This generates\n",
      "an input matrix of 8x8 where each element is an integer in the range\n",
      "0..16. This reduces dimensionality and gives invariance to small\n",
      "distortions.\n",
      "\n",
      "For info on NIST preprocessing routines, see M. D. Garris, J. L. Blue, G.\n",
      "T. Candela, D. L. Dimmick, J. Geist, P. J. Grother, S. A. Janet, and C.\n",
      "L. Wilson, NIST Form-Based Handprint Recognition System, NISTIR 5469,\n",
      "1994.\n",
      "\n",
      ".. topic:: References\n",
      "\n",
      "  - C. Kaynak (1995) Methods of Combining Multiple Classifiers and Their\n",
      "    Applications to Handwritten Digit Recognition, MSc Thesis, Institute of\n",
      "    Graduate Studies in Science and Engineering, Bogazici University.\n",
      "  - E. Alpaydin, C. Kaynak (1998) Cascading Classifiers, Kybernetika.\n",
      "  - Ken Tang and Ponnuthurai N. Suganthan and Xi Yao and A. Kai Qin.\n",
      "    Linear dimensionalityreduction using relevance weighted LDA. School of\n",
      "    Electrical and Electronic Engineering Nanyang Technological University.\n",
      "    2005.\n",
      "  - Claudio Gentile. A New Approximate Maximal Margin Classification\n",
      "    Algorithm. NIPS. 2000.\n"
     ]
    }
   ],
   "source": [
    "print(digits.DESCR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state = 666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347, 64)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 32 ms, sys: 0 ns, total: 32 ms\n",
      "Wall time: 34.5 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "                     metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "                     weights='uniform')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9866666666666667"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.62 ms, sys: 275 µs, total: 7.9 ms\n",
      "Wall time: 5.35 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
       "                     metric_params=None, n_jobs=None, n_neighbors=5, p=2,\n",
       "                     weights='uniform')"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6066666666666667"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**在将原有的64维数据直接降维至2维后，数据损失导致分类准确度直接从原来的98.67% 下降到 60.67% ，这个结果我们不能接受，尝试将降维的维度进行调整**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.14566817, 0.13735469])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# pca解释方差比例，越大说明能解释的原数据的程度越高，目前两个维度相加仅能解释原数据的28%左右，其余的78%的信息已经丢失了\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 寻找最佳的降维维度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.45668166e-01, 1.37354688e-01, 1.17777287e-01, 8.49968861e-02,\n",
       "       5.86018996e-02, 5.11542945e-02, 4.26605279e-02, 3.60119663e-02,\n",
       "       3.41105814e-02, 3.05407804e-02, 2.42337671e-02, 2.28700570e-02,\n",
       "       1.80304649e-02, 1.79346003e-02, 1.45798298e-02, 1.42044841e-02,\n",
       "       1.29961033e-02, 1.26617002e-02, 1.01728635e-02, 9.09314698e-03,\n",
       "       8.85220461e-03, 7.73828332e-03, 7.60516219e-03, 7.11864860e-03,\n",
       "       6.85977267e-03, 5.76411920e-03, 5.71688020e-03, 5.08255707e-03,\n",
       "       4.89020776e-03, 4.34888085e-03, 3.72917505e-03, 3.57755036e-03,\n",
       "       3.26989470e-03, 3.14917937e-03, 3.09269839e-03, 2.87619649e-03,\n",
       "       2.50362666e-03, 2.25417403e-03, 2.20030857e-03, 1.98028746e-03,\n",
       "       1.88195578e-03, 1.52769283e-03, 1.42823692e-03, 1.38003340e-03,\n",
       "       1.17572392e-03, 1.07377463e-03, 9.55152460e-04, 9.00017642e-04,\n",
       "       5.79162563e-04, 3.82793717e-04, 2.38328586e-04, 8.40132221e-05,\n",
       "       5.60545588e-05, 5.48538930e-05, 1.08077650e-05, 4.01354717e-06,\n",
       "       1.23186515e-06, 1.05783059e-06, 6.06659094e-07, 5.86686040e-07,\n",
       "       1.71368535e-33, 7.44075955e-34, 7.44075955e-34, 7.15189459e-34])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=X_train.shape[1])\n",
    "pca.fit(X_train, y_train)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD4CAYAAAD8Zh1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAc2klEQVR4nO3deZhU9Z3v8fe395WGXqCBBppmB4OgDWLMGDXiRU0kk2006xifmDvR3LnRWfSZXOeOM3fuc5ObyTLXJxOTuGRVE6MSh4kmRifEyNLKIlvb2A100zS90ftaVb/7RxWkhYYuoJrT59Tn9Tz1VJ1Th+rPaYsPx9/ZzDmHiIj4X4rXAUREJDFU6CIiAaFCFxEJCBW6iEhAqNBFRAIizasfXFxc7MrLy7368SIivvT666+3OudKRnvPs0IvLy+nqqrKqx8vIuJLZnboTO9pyEVEJCBU6CIiAaFCFxEJCBW6iEhAqNBFRAJizEI3s0fMrNnMdp/hfTOzb5nZATPbZWaXJT6miIiMJZ4t9MeAdWd5/0ZgQexxJ/DtC48lIiLnaszj0J1zvzOz8rMssh74gYteh3ezmU02s+nOuaMJyigiE0QoHKFvOEz/UJjewRD9w2GGQpHoIxx9Hg5HGA47QpHoczjiCEUckUj0dcSdeAaH48QVvE9cyts5OHFRb3fqMhcSfgJdKvx9S6Zx6azJCf/cRJxYNBOoHzHdEJt3WqGb2Z1Et+KZPXt2An60iIwlEnF0D4To7B+ms3+Y7oFhugZC9AyG6B4Ypif2umcwRO/gH1/3D4XpHQrTNxiibzhM32CYoXDE69W5IGZeJ4iaOilrwhb6aL+iUf8pdM49DDwMUFlZOXH+uRTxAeccvUNh2noGae0Z4njvEMf7hujoG44+9w/T2Rct7Y7+oehz3zA9g6ExN04z01LIy0wjN/bIy0xlck4GM6ekkpORRm5GKtkZaeRkpJKTkUr2ief0VDLTUslIS4k+UlNIT00hPdVIS00hLcVIT00hJQVSzUhNMVJSjFQzUsxOFqwZGCOmAYtN2In3J0obT2CJKPQGYNaI6TKgMQGfK5IUIhFHW+8Qx7oGaOocoLl7kJbuQVp6BmjuGqSlJzrd2jPIwPDoW8ipKcbk7HQKctIpyE6nJC+T+SV5FGRHpyfFnk+8zs9KIz8z+pybmUZGmg54C4JEFPoG4G4zewK4AujU+LlIVCTiaO4e5EhHH40d0cJuihX30c5+jnUN0tw9wHD49E3oKTnplORnUpKfSeWcKRTnZVKcn0lJXiZFeRkU5mYwJSeDgpx08jPTtAUrYxe6mf0UuAYoNrMG4O+BdADn3L8BG4GbgANAH3D7eIUVmYi6BoY51NrHofZeDrX1cbitj8PtfRzp6OdoZ/9pZZ2dnsr0gixKC7K4Ym4h0wqyKJ2UxbRJ0XnTJmVSlJuprWY5Z/Ec5XLbGO874K6EJRKZgAaGwxxu76O2pZe61l5qW3qoa42+busdeseyJfmZzC7MYcWsydy8fDozJ2czc0o2MwqyKS3IYlKWtqZlfHh2+VyRicY5R0vPIG839/J2S0/s0Utdaw8Nx/vfsWNxan4mc4tzWbt0GuXFuZQX5TKnKIfZhTnkZuqvlXhD3zxJSq09g7zV1E31sW7eOtZNdVM3Nc09dA+ETi6TnZ5KRUkuK2ZN4UMry6goyaWiOI+5JbnkqbRlAtK3UgJtMBTmraYe9jV1Ud3Uzf7Yc2vPH4dJpuSks6g0n/UrZjC/JI95U/OYV5JH6aQsUlI0NCL+oUKXwIhEHLWtPeyo72RnfQe7GjrYd7T75MkwWekpLJqWz3WLp7KodBKLS/NZOC2f4rwMjWlLIKjQxbcGQ2HebOhk28HjVB1sp+rQcTr7hwHIy0zjkpmTuP095SyfOZkl0/OZU5RLqra4JcBU6OIbfUMh3jjUwZa6NrbUtbOjvoOhUHTru6Ikl3XLSrm8fAqXzZ5MRXGehksk6ajQZcIKhSPsbOhkU00Lm2pa2VnfQSjiSDG4ZGYBn1ozh9VzC6mcM4WivEyv44p4ToUuE0p9ex+/q2lh01utvPp2K90DIcxgedlkPnd1BVfMLeTyOVPIz0r3OqrIhKNCF0/1D4V59UArm2pa+F1NK3WtvQDMKMji5ndN508WlHDV/CIm52R4nFRk4lOhy0XXOxji5epmNr55lJf3t9A/HCY7PZU1FYV8as0crl5YwrySXB15InKOVOhyUfQNhfjNvmb+fVcjr1S3MBiKUJyXyYcvn8l/WVbK6rmFZKaleh1TxNdU6DJuBobDvFLdzC93HuWl/ccYGI4wNT+T21bP5sZLSqksL9RhhCIJpEKXhIpEHJtr2/jF9iP8ancTPYMhinIz+Ojls3j/8umsKi/U4YQi40SFLglRc6ybX2w/wnPbj9DYOUBeZho3XlLK+hUzWVNRSFqqLgUrMt5U6HLe2nuH+OXORp5+o4FdDZ2kphhXLyjmvpuWsHbJNLIzNCYucjGp0OWchCOOl/c381RVPS9XNzMcdiydPokv37yEW1bMYGp+ltcRRZKWCl3i0tE3xFNV9fxw8yHq2/spzsvkM1eW8+HLy1gyfZLX8UQEFbqMYd/RLh7/w0Ge3XGEgeEIq+cWcv+NS1i7dBrpGhcXmVBU6HKacMTx0r5jPPrqQV6rbSMrPYU/XVnGp6+co61xkQlMhS4n9QyGeHJbPY//4SCH2/uYOTmb+29czK2rZlOQo2uniEx0KnShs3+Yx149yCOv1tHZP8yq8incd+Niblg6TYcbiviICj2JtfcO8f3f1/KDPxyiezDE2qXTuOva+ayYNdnraCJyHlToSWgwFOZ7m+p46OUD9A+HuemS6dx17XyWztD4uIifqdCTzO9rWnngud3Utvayblkp996wkAXT8r2OJSIJoEJPEk2dA/zTv+/l+V1HmVOUw2O3r+KaRVO9jiUiCaRCD7hwxPH4Hw7ytRerGY44vnT9Qj7/3gqy0nVavkjQqNAD7M2GTu5/Zhe7j3Rx9cIS/nH9MuYU5XodS0TGiQo9gLoHhvnai2/xg9cOUpSXyf/7+Epuftd03QFIJOBU6AHzn2+1cN/Tu2jqGuCTV8zhr9ctYpJuqCySFFToAdE7GOJ/bdzHT7YcZv7UPH7xF+9m5ewpXscSkYtIhR4AW2rb+Kuf76TheD93Xl3BPWsXaqenSBJSofvYwHCYr71Yzfd+X8esKTk89fkrWVVe6HUsEfGICt2n9jZ28aUnd1B9rJtPrpnN/TcuITdT/zlFkpkawGfCEcf3NtXytRffoiAnnUdvX8W1OkFIRFCh+8qRjn7ueXIHW+raWbeslH/+0LsozM3wOpaITBAqdJ944/BxPvd4FYOhCF/9yHI+cnmZjisXkXdQofvAxjeP8qUndzBtUhZPfn4V86fmeR1JRCaguO5eYGbrzKzazA6Y2X2jvD/bzF42s+1mtsvMbkp81OTjnOPf/vNtvvDjN1g2YxLPfOHdKnMROaMxt9DNLBV4CFgLNADbzGyDc27viMW+DDzlnPu2mS0FNgLl45A3aQyHIzzw3G5+urWe9y+fzv/96KU6tlxEziqeIZfVwAHnXC2AmT0BrAdGFroDTtwdoQBoTGTIZNM1MMxdP36DTTWt3HXtPO5du4iUFI2Xi8jZxVPoM4H6EdMNwBWnLPM/gRfN7ItALnB9QtIloSMd/Xz20W283dLDVz68nI+tmuV1JBHxiXjG0EfbNHSnTN8GPOacKwNuAn5oZqd9tpndaWZVZlbV0tJy7mkD7s2GTj740Ks0dvTz2O2rVeYick7iKfQGYGSzlHH6kModwFMAzrnXgCyg+NQPcs497JyrdM5VlpSUnF/igPrN3mN87DuvkZGawtNfeDfvWXDar09E5KziKfRtwAIzm2tmGcCtwIZTljkMvA/AzJYQLXRtgsfpuR1HuPOHVSyYlsczd72bhbrHp4ichzHH0J1zITO7G3gBSAUecc7tMbMHgSrn3AbgXuC7ZvYlosMxf+6cO3VYRkbxSnUz9z61k1XlhTx6+ypyMnRqgIicn7jawzm3keihiCPnPTDi9V7gqsRGC77th4/zFz96g4XT8vnuZypV5iJyQeI6sUgS70BzN7c/to2S/Ewe++wq3VVIRC6YCt0DjR39fOr7W0lLSeGHd6xman6W15FEJABU6BdZR98Qn35kKz0DIR7/7CrmFOV6HUlEAkKDthfRYCjMnT98ncNtfTz+2dUsm1HgdSQRCRAV+kXinOP+p99ka10737x1BVfOK/I6kogEjIZcLpJvvlTDL7Yf4Z61C1m/YqbXcUQkgFToF8Ez2xv4xm9q+PBlZXzxuvlexxGRgFKhj7PNtW38zc93saaikP/9oXfpLkMiMm5U6OPoWNcA//VHrzO7MIfvfLKSjDT9ukVk/Khhxolzjr99ehcDw2Ee/nQlBTk6cUhExpcKfZw8sa2eV6pb+Nt1i5lXotvGicj4U6GPg/r2Pv7p+b1cWVHEZ64s9zqOiCQJFXqCRSKOe3+2EzPjqx9drlvHichFo0JPsEderWNrXTsPfGApZVNyvI4jIklEhZ5ANce6+coL1Vy/ZBofvbzM6zgikmRU6AkSjjj+6mc7yctM0/HmIuIJFXqC/GTLIXY2dPL3H1hKSX6m13FEJAmp0BOgpXuQr7xQzVXzi7jl0hlexxGRJKVCT4B/3riPweEID66/REMtIuIZFfoFeu3tNp7ZfoTPv7dCJxCJiKdU6BdgKBThfzy3m1mF2dx1ra6iKCLe0g0uLsB3N9VyoLmHR/98FVnpqV7HEZEkpy3081Tf3se//raGdctKuXbxVK/jiIio0M/Xg8/vJcWMBz6w1OsoIiKACv28bKpp4dd7j3H3dfOZMTnb6zgiIoAK/ZwNhyM8+Mu9zCnK4Y73zPU6jojISSr0c/TjzYeoae7hyzcvJTNNO0JFZOJQoZ+D9t4h/uXXb/EnC4q5fol2hIrIxKJCPwdfe7Ga3qEwD7x/qc4IFZEJR4Uep72NXfx062E+tWYOC6blex1HROQ0KvQ4OOf4h1/uoSA7nS9dv9DrOCIio1Khx+GFPU1sqWvn3hsWUZCT7nUcEZFRqdDHEIk4vv7rGuaV5HLrqllexxEROSMV+hhe3HuM6mPdfPG6BaSl6tclIhOXGuosnHP8629rKC/K4f3Lp3sdR0TkrFToZ/Hb/c3saezirmvna+tcRCY8tdQZOOf41m8PUDYlmw+unOl1HBGRManQz2BTTSs76zv4wjXzSdfWuYj4QFxNZWbrzKzazA6Y2X1nWOZjZrbXzPaY2U8SG/PiOjF2Pr0giw9frq1zEfGHMe9YZGapwEPAWqAB2GZmG5xze0csswC4H7jKOXfczHx9oZPNte1sO3icB9cv0wW4RMQ34tlCXw0ccM7VOueGgCeA9acs8zngIefccQDnXHNiY15c33qphqn5mXysUsedi4h/xFPoM4H6EdMNsXkjLQQWmtmrZrbZzNaN9kFmdqeZVZlZVUtLy/klHmdvHD7Oa7Vt3Hl1he4TKiK+Ek+hj3ZZQXfKdBqwALgGuA34nplNPu0POfewc67SOVdZUlJyrlkvih/84SD5mWl8/IrZXkcRETkn8RR6AzBy7KEMaBxlmeecc8POuTqgmmjB+0p77xAb32ziQ5fNJCdjzN0LIiITSjyFvg1YYGZzzSwDuBXYcMoyzwLXAphZMdEhmNpEBr0YflZVz1A4wifWzPE6iojIORuz0J1zIeBu4AVgH/CUc26PmT1oZrfEFnsBaDOzvcDLwF8759rGK/R4iEQcP9l6mNXlhSzU9c5FxIfiGldwzm0ENp4y74ERrx1wT+zhS78/0Mqhtj7uWavrnYuIP+kUyJgfbzlEUW4G6y4p9TqKiMh5UaEDTZ0D/GZfMx+tnKUTiUTEt1TowBPbDhNxjo+v1qGKIuJfSV/ooXCEJ7bWc/WCEmYX5XgdR0TkvCV9ob+0v5mmrgE+oROJRMTnkr7Qf7T5ENMLsrhusa+vJyYiktyFXt/ex6aaVv5s1SzdkUhEfC+pW+y5HUcA+MjlZR4nERG5cElb6M45nt3RyOryQsqmaGeoiPhf0hb6nsYuDjT3sH7lDK+jiIgkRNIW+rPbj5Ceatz8ruleRxERSYikLPRwxLFhZyPvXTiVyTkZXscREUmIpCz0zbVtNHcP8qcrdQNoEQmOpCz0Z7cfIS8zjfct0bHnIhIcSVfoA8NhfrW7iXWXlOqeoSISKElX6C/ta6Z7MMQHV2i4RUSCJekK/dkdR5ian8mV84q8jiIiklBJVegdfUO8Ut3MLZfOIDXFvI4jIpJQSVXoG99sYjjs+KCObhGRAEqqQn92+xHmleSybMYkr6OIiCRc0hR6Z98w2w61c/PyGZhpuEVEgidpCn3rwXacg3drZ6iIBFTSFPqW2jYy0lJYMWuy11FERMZF8hR6XTsrZk3WyUQiElhJUejdA8PsaexkzdxCr6OIiIybpCj0qkPHiTi4okLj5yISXElR6Ftq20lLMS6bPcXrKCIi4yY5Cr2ujeVlBWRnaPxcRIIr8IXeNxTizYZODbeISOAFvtBfP3ScUMRxhXaIikjABb7Qt9S2k5piVJar0EUk2AJf6Fvr2rlkxiTyMtO8jiIiMq4CXegDw2F21Hdo/FxEkkKgC3374Q6GwhGNn4tIUgh0oW+pa8MMjZ+LSFIIdqHXtrN0+iQKstO9jiIiMu4CW+iDoTBvHD7Oag23iEiSiKvQzWydmVWb2QEzu+8sy33EzJyZVSYu4vnZ1dDJYCjCFXO1Q1REksOYhW5mqcBDwI3AUuA2M1s6ynL5wH8DtiQ65PnYUtsGoC10EUka8WyhrwYOOOdqnXNDwBPA+lGW+0fgK8BAAvOdty117Syalk9hbobXUURELop4Cn0mUD9iuiE27yQzWwnMcs49f7YPMrM7zazKzKpaWlrOOWy8nHPsaezS3YlEJKnEU+ij3VHZnXzTLAX4OnDvWB/knHvYOVfpnKssKSmJP+U5aukZpL13iMXT88ftZ4iITDTxFHoDMGvEdBnQOGI6H7gEeMXMDgJrgA1e7hjdf7QbgEWlKnQRSR7xFPo2YIGZzTWzDOBWYMOJN51znc65YudcuXOuHNgM3OKcqxqXxHGobooW+uLSSV5FEBG56MYsdOdcCLgbeAHYBzzlnNtjZg+a2S3jHfB87G/qZmp+pnaIikhSiesShM65jcDGU+Y9cIZlr7nwWBdmf1OXhltEJOkE7kzRUDhCTXMPS6ZruEVEkkvgCv1gWy9DoQiLpmkLXUSSS+AKfX+TjnARkeQUuEKvbuomNcWYPzXP6ygiIhdV4Ap939Fu5hbnkpWe6nUUEZGLKnCFXn2si8UabhGRJBSoQu8ZDFHf3q9CF5GkFKhCrz65Q1SHLIpI8glkoWsLXUSSUaAKfX9TF3mZaZRNyfY6iojIRRewQu9mUWk+ZqNd8VdEJNgCU+jOOfYf1TVcRCR5BabQm7oG6BoIsUSFLiJJKjCF/sebWugIFxFJTsEp9BOHLOqiXCKSpAJT6NVNXcwoyKIgJ93rKCIinghMoZ84wkVEJFkFotCHQhHebulhsW5qISJJLBCFXtvaw3DY6QxREUlqgSj0at3UQkQkGIW+v6mb9FSjolg3tRCR5BWIQq85Fr2pRUZaIFZHROS8BKIBa1t6tXUuIknP94U+HI5wuL2PipJcr6OIiHjK94V+uL2PUMRRUaItdBFJbr4v9LqWXgBtoYtI0vN9ode29gAwT2PoIpLk/F/oLb0U5WboGi4ikvQCUegabhERCUKht/bokEUREXxe6J39w7T2DGkLXUQEnxd6bUt0h6gOWRQR8X2hRw9ZnFusLXQREX8XemsPqSnG7MIcr6OIiHjO34Xe0svswhxdlEtEhAAUeoWGW0REAB8XejjiqGvTMegiIifEVehmts7Mqs3sgJndN8r795jZXjPbZWYvmdmcxEd9p8aOfoZCER3hIiISM2ahm1kq8BBwI7AUuM3Mlp6y2Hag0jm3HPg58JVEBz1VbWvsolwachERAeLbQl8NHHDO1TrnhoAngPUjF3DOveyc64tNbgbKEhvzdDoGXUTkneIp9JlA/Yjphti8M7kD+I/R3jCzO82sysyqWlpa4k85itqWXvKz0ijOy7igzxERCYp4Ct1GmedGXdDsk0Al8NXR3nfOPeycq3TOVZaUlMSfchS1rT1UlORhNlo8EZHkE0+hNwCzRkyXAY2nLmRm1wN/B9zinBtMTLwzq23pZZ7Gz0VEToqn0LcBC8xsrpllALcCG0YuYGYrge8QLfPmxMd8p76hEEc7B3TKv4jICGMWunMuBNwNvADsA55yzu0xswfN7JbYYl8F8oCfmdkOM9twho9LiNqTt53TDlERkRPS4lnIObcR2HjKvAdGvL4+wbnO6uQhizqpSETkJF+eKVrb0oOZrrIoIjKSTwu9lxkF2WSlp3odRURkwvBnobf2aLhFROQUvit05xx1Lb3M0w5REZF38F2hN3cP0jsU1ha6iMgpfFfob5+4hkuxttBFREbyXaH/8Rh0baGLiIzku0Kfmp/J2qXTKJ2U5XUUEZEJJa4TiyaSG5aVcsOyUq9jiIhMOL7bQhcRkdGp0EVEAkKFLiISECp0EZGAUKGLiASECl1EJCBU6CIiAaFCFxEJCHPOefODzVqAQ+f5x4uB1gTG8YLf10H5vef3dVD+8zPHOVcy2hueFfqFMLMq51yl1zkuhN/XQfm95/d1UP7E05CLiEhAqNBFRALCr4X+sNcBEsDv66D83vP7Oih/gvlyDF1ERE7n1y10ERE5hQpdRCQgfFfoZrbOzKrN7ICZ3ed1nrGY2SNm1mxmu0fMKzSzX5tZTex5ipcZz8bMZpnZy2a2z8z2mNlfxub7aR2yzGyrme2MrcM/xObPNbMtsXV40swyvM56NmaWambbzez52LRv8pvZQTN708x2mFlVbJ5vvkMAZjbZzH5uZvtjfx+unGjr4KtCN7NU4CHgRmApcJuZLfU21ZgeA9adMu8+4CXn3ALgpdj0RBUC7nXOLQHWAHfFfud+WodB4Drn3KXACmCdma0B/g/w9dg6HAfu8DBjPP4S2Ddi2m/5r3XOrRhx7LafvkMA3wR+5ZxbDFxK9L/FxFoH55xvHsCVwAsjpu8H7vc6Vxy5y4HdI6argemx19OBaq8znsO6PAes9es6ADnAG8AVRM/yS4vNf8d3a6I9gDKihXEd8DxgPst/ECg+ZZ5vvkPAJKCO2IEkE3UdfLWFDswE6kdMN8Tm+c0059xRgNjzVI/zxMXMyoGVwBZ8tg6x4YodQDPwa+BtoMM5F4otMtG/S98A/gaIxKaL8Fd+B7xoZq+b2Z2xeX76DlUALcCjsWGv75lZLhNsHfxW6DbKPB13eRGYWR7wNPDfnXNdXuc5V865sHNuBdEt3dXAktEWu7ip4mNm7weanXOvj5w9yqITMn/MVc65y4gOl95lZld7HegcpQGXAd92zq0EevF6eGUUfiv0BmDWiOkyoNGjLBfimJlNB4g9N3uc56zMLJ1omf/YOfeL2GxfrcMJzrkO4BWi+wMmm1la7K2J/F26CrjFzA4CTxAddvkG/smPc64x9twMPEP0H1U/fYcagAbn3JbY9M+JFvyEWge/Ffo2YEFs734GcCuwweNM52MD8JnY688QHZeekMzMgO8D+5xz/zLiLT+tQ4mZTY69zgauJ7pD62XgI7HFJuw6OOfud86VOefKiX7nf+uc+wQ+yW9muWaWf+I1cAOwGx99h5xzTUC9mS2KzXofsJeJtg5e72w4j50TNwFvER0D/Tuv88SR96fAUWCY6L/ydxAd/3wJqIk9F3qd8yz530P0f+V3ATtij5t8tg7Lge2xddgNPBCbXwFsBQ4APwMyvc4ax7pcAzzvp/yxnDtjjz0n/t766TsUy7sCqIp9j54Fpky0ddCp/yIiAeG3IRcRETkDFbqISECo0EVEAkKFLiISECp0EZGAUKGLiASECl1EJCD+PwwczxzqaxKhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([i for i in range(X_train.shape[1])], \\\n",
    "          [np.sum(pca.explained_variance_ratio_[:i + 1]) for i in range(X_train.shape[1])])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出超过30维后，降维后的数据解释方差比例已经趋近于1，因此我们可以采取大于30的数作为n_components的值。\n",
    "\n",
    "其实这种通过解释方差比例来确定降维维数的方式，sklearn已经替我们封装好了，用法如下"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.95, random_state=None,\n",
       "    svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(0.95)  # 让算法自己去选择解释方差比例在95%的维数\n",
    "pca.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_  \n",
    "# 28维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)\n",
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**那是不是降到2维就毫无意义呢？并不是，降到2维有一个最直接的好处，就是可视化**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X, y)\n",
    "X_reduction = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "digits.target_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "for i in range(10):\n",
    "    plt.scatter(X_reduction[y == i,0], X_reduction[y == i, 1], alpha= 0.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
